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The query [[Satisfies property::Metabelian group]] was answered by the SMWSQLStore3 in 0.0073 seconds.


Results 1 – 36    (Previous 50 | Next 50)   (20 | 50 | 100 | 250 | 500)   (JSON | CSV | RSS | RDF)
 GAP IDArithmetic function value
Central product of D8 and Q832 (50)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (4)
Subgroup rank of a group (4)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of D8 and Z832 (38)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Nilpotency class (2)
Derived length (2)
Frattini length (3)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of UT(3,3) and Z981 (14)Order of a group (81)
Prime-base logarithm of order (4)
Exponent of a group (9)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Fitting length (1)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of UT(3,Z) and QNilpotency class (2)
Derived length (2)
Central product of UT(3,Z) and Z identifying center with 2ZNilpotency class (2)
Derived length (2)
Frattini length (2)
Hirsch length of a polycyclic group (3)
Polycyclic breadth (3)
Dihedral group:D3232 (18)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (16)
Prime-base logarithm of exponent (4)
Nilpotency class (4)
Derived length (2)
Frattini length (4)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Direct product of A4 and Z224 (13)Order of a group (24)
Exponent of a group (12)
Derived length (2)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (3)
Direct product of D8 and V432 (46)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (4)
Subgroup rank of a group (4)
Rank of a p-group (4)
Normal rank of a p-group (4)
Characteristic rank of a p-group (3)
Direct product of Q8 and Z216 (12)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Direct product of prime-cube order group:U(3,3) and Z381 (12)
Fundamental group of Klein bottle
GAPlus(1,R)
General affine group of degree one
General affine group:GA(1,Q)
Generalized dihedral group for 2-quasicyclic group
Generalized dihedral group for additive group of 2-adic integers
Generalized dihedral group for direct product of Z4 and Z432 (34)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (2)
Generalized quaternion group:Q1616 (9)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Nilpotency class (3)
Derived length (2)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Number of conjugacy classes (7)
Number of equivalence classes under rational conjugacy (6)
Number of conjugacy classes of rational elements (5)
Infinite dihedral groupDerived length (2)
Fitting length (2)
Frattini length (1)
Subgroup rank of a group (2)
M1616 (6)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Nilpotency class (2)
Derived length (2)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nontrivial semidirect product of Z4 and Z416 (4)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Number of subgroups (15)
Number of conjugacy classes of subgroups (13)
Number of conjugacy classes (10)
Nontrivial semidirect product of Z9 and Z981 (4)Order of a group (81)
Prime-base logarithm of order (4)
Exponent of a group (9)
Prime-base logarithm of exponent (2)
Frattini length (2)
Derived length (2)
Nilpotency class (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Quotient of UT(3,Q) by a central ZNilpotency class (2)
Derived length (2)
Restricted regular wreath product of group of prime order and quasicyclic group
Semidihedral group:SD1616 (8)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Nilpotency class (3)
Derived length (2)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Number of conjugacy classes (7)
Number of equivalence classes under rational conjugacy (6)
Number of conjugacy classes of rational elements (5)
Semidihedral group:SD3232 (19)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (16)
Prime-base logarithm of exponent (4)
Nilpotency class (4)
Derived length (2)
Frattini length (4)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Semidirect product of Z8 and Z4 of M-type32 (4)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Nilpotency class (2)
Derived length (2)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
SmallGroup(32,2)32 (2)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Frattini length (2)
Nilpotency class (2)
Derived length (2)
Minimum size of generating set (2)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
SmallGroup(32,24)32 (24)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
SmallGroup(32,27)32 (27)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (3)
Subgroup rank of a group (4)
Rank of a p-group (4)
Normal rank of a p-group (4)
Characteristic rank of a p-group (4)
SmallGroup(81,3)81 (3)Order of a group (81)
Exponent of a group (9)
Frattini length (2)
Fitting length (1)
Derived length (2)
Nilpotency class (2)
Minimum size of generating set (2)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
Number of conjugacy classes (33)
Number of subgroups (41)
Number of conjugacy classes of subgroups (23)
Sylow subgroup of holomorph of Z27243 (22)Order of a group (243)
Exponent of a group (27)
Nilpotency class (3)
Derived length (2)
Frattini length (3)
Fitting length (1)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Number of conjugacy classes (35)
Sylow subgroup of holomorph of cyclic group of odd prime-cube order
Unitriangular matrix group:UT(3,Q)Nilpotency class (2)
Derived length (2)
Unitriangular matrix group:UT(3,Z)Nilpotency class (2)
Derived length (2)
Frattini length (2)
Hirsch length of a polycyclic group (3)
Polycyclic breadth (3)
Wreath product of Z3 and Z381 (7)Order of a group (81)
Exponent of a group (9)
Nilpotency class (3)
Derived length (2)
Fitting length (1)
Frattini length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)